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Question 5
What is the equation of the line?
У.
y= 2x4
y = 2x + 2
-1
y=-x - 4
y = x + 2

Answer:

  (b)  4a³

Step-by-step explanation:

The value of B is the sum of the a-cubed terms:

  12a³ -6a³ -2a³ = (12 -6 -2)a³ = 4a³ . . . . . matches the 2nd choice

__

Additional comment

A = (-2a)(-2a) = 4a²

Answer:

Tip Total: $ 154,500.00

Total (Bill + Tip): $ 1,184,500.00

Answer:

13.5

Step-by-step explanation:

When finding radius you would divide the diameter by 2, and the diameter is (3 times 9) 27. Thus 27 divided by 2 = 13.5

Hope this helps :D

At the airport, ten people are waiting on standby. two seats become available, one first-class and one coach, There are 90 ways to fill the two seats.

It is given that there are ten people waiting on standby.

Two seats are available, One is first class and another one is coach.

It is required to find how many ways are there to fill the two seats.

A permutation can be defined as the number of ways a set can be arranged.

We have ten people and two seats in which only two people can seat out of ten.

It is a problem based on the permutation concept.

So for the first seat, there are 10 ways to fill the first seat

and for the second seat, there are  [tex](10-1)[/tex] ways to fill the second seat.

If "P" is the number of ways we can assign the seats:

Then, P = 10×(10-1) = 10×9 = 90

Thus, there are 90 ways to fill the two seats.

Learn more about permutation here:

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Answer:

D. 90

Step-by-step explanation:

Have a good day!

Answer:

Step-by-step explanation:

The time required for an account earning compound interest to achieve a particular balance is given by the formula ...

  t = log(A/P)/(n·log(1 +r/n))

where principal P is compounded n times per year at annual rate r. A is the account balance after that time. For this problem, n=1.

__

Here, we have ...

  P = $2000, A = $2500, r = 0.05, n = 1

The number of years is ...

  t = log(2500/2000)/log(1.05) ≈ 4.57 . . . years

__

For A = $3000, this becomes ...

  t = log(3000/2000)/log(1.05) ≈ 8.31 . . . years

Answer:

0.012

Step-by-step explanation:

Answer:

0.012km is the correct answer

Answer:

can you please tell me the chapter

Answer:

C, $769 per week

Step-by-step explanation:

There are 52 weeks in a year. To find the answer to this question, divide $40,000 by 52 to get $769.230769231, rounded to $769.

Answer:

4 pi/3

Step-by-step explanation:

960 degrees in standard position is the same thing as 960-360 = 600 degrees in standard position because rotating the second line 360 degrees just brings it back to where it started.

Do it again to get 600 - 360 = 240

240 degrees would end up in the same spot as 600 degrees and 960 degrees, so they are all coterminal.

Convert 240 degrees to radians:

240 * pi/180 = 4pi/3.

Answer:

False

Step-by-step explanation:

Answer:

5x-14=3x

Step-by-step explanation:

Answer:

AA

Step-by-step explanation:

ΔCSR and ΔMDR share ∠CRS

Since lines [tex]n[/tex] and [tex]k[/tex] are parallel, ∠C ≅ ∠M and ∠S ≅ ∠D. These are corresponding angles.

Either of these sets of angles could be used along with ∠CSR to prove that ΔCSR and ΔMDR are similar because of AA.

Answer:

-175

Step-by-step explanation:

Answer:

-175

Step-by-step explanation:

Calculators are very useful, :).

To write the equation multiply the price per person by x( the number of people that can go) and add the price of parking to get the total cost:

equation: total = 35.75x + 19

to solve for x replace the total with 197.75 and solve for x:

197.75 = 35.75x + 19

Subtract 19 from both sides:

178.75 = 35.75x

Divide both sides by 35.75

X = 5

a total of 5 people can go.

Answer:

M = -1

Step-by-step explanation:

Use the slope formula:

M = (y2-y1)/(x2-x1)

M = (5-9)/(7-3)

M = -1

The required slope for the lines -1.

Given that,

To determine the slope of the line that passes through points (3,9) and (7,5).

The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx, where x is in degrees.

The process in computation to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

Slopes of the line can be given as,

m = [y₂ - y₁ ] / [x₂ - x₁]

for points,  (3,9) and (7,5)

m = 5 - 9 / 7 - 3

m = -4 / 4
m = 1

Thus, the required slope for the lines is -1.

Learn more about slopes here:

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Answer:

The maximum sale of the tickets is 158 on the [tex]11^{th}[/tex] day.

Step-by-step explanation:

The number of tickets sold each day, p(x), for an upcoming performance is

[tex]p(x)=-0.4x^2+8.8x+13[/tex]

where x is the number of days since the concert was first announced.

For peak sales, the point of maxima has to be determined.

So, differentiate the function of the number of tickets sold each day, p(x), with respect to the number of days, x, and equate it to zero to get the extremum point (maxima or minima), i.e.

[tex]\frac {p(x)}{dx}=0[/tex]

[tex]\Rightarrow -0.8x+8.8=0[/tex]

[tex]\Rightarrow x=\frac{8.8}{0.8}=11[/tex]

Now, check the sign of the second derivative at x=11, to ensure the obtained point is corresponding to the maxima or minima,

[tex]\frac {p^2(x)}{dx^2}=-0.8[/tex]

As the second derivative is negative, so x=11 is the point corresponding to maxima.

Hence, on the [tex]11^{th}[/tex] day the daily ticket sales will be at the peak.

Putting x=11 in the function p(x) to get the number of tickets sold that day.

[tex]p(x=11)= -0.4(11)^2+8.8(11)+13[/tex]

[tex]\Rightarrow 158.2.[/tex]

The number of tickets should be an integer, the obtained peak value is 158.2 so the higher integral value is not possible but the lower integral value is possible.

So, the maximum sale of the tickets is 158 on the [tex]11^{th}[/tex] day.

Answer:

c

Step-by-step explanation:

The equation =( denominater * derivative of numerator - numerator * derivative of denominator) / denominator ^2

so the qstn is (x^2 + 3x +2) / (x+3)

apply the values as the above eqtn states

ie,[ (x+3) * derivative of (x^2 +3x + 2)] - [( x^2 +3x + 2) *derivative of (x+3)] /

(x+3)^2

derivative of numerator, (x^2 +3x + 2) is 2x+3

" of denominator, (x+3) is 1

so we get

[(x+3)* (2x + 3 ) - (x^2 +3x + 2) *1 ] / (x+3)^2

open the brackets

[ 2x^2 + 3x + 6x + 9 - x^2 +3x + 2 ] / (x+3)^2

subtract similar terms and we get the final answer in option c

The trapezoidal rule is simply a rule that's used in the approximation of a definite integral.

Your information is incomplete as the details aren't complete. Therefore, an overview will be given.

In this case, the trapezoidal rule is simply a rule that's used in the approximation of a definite integral.

It simply evaluates the area under the curve by dividing the total area into smaller trapezoids rather than using rectangles.

Learn more about trapezoid on:

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Answer:

13

Step-by-step explanation:

Assuming that this is a right triangle, we can use the Pythagorean theorem.

[tex](length-of-leg-1)^2+(length-of-leg-2)^2 = (length-of-hypotenuse)^2\\15^2 + x^2 = (\sqrt{394} )^2\\225 + x^2 = 394\\x^2 = 169\\x = 13[/tex]

Hope that helped!  

Answer:

the flat part of a solid figure is a face

BRAINLIEST

Answer:

Step-by-step explanation:  will u be my friend

Answer:

Solve for [tex]x[/tex] by simplifying both sides of the equation, then isolating the variable.

Exact Form:

[tex]x = \frac{40}{3}[/tex]

Decimal Form:

[tex]x=13.3[/tex]

Mixed Number Form:

[tex]x=13\frac{1}{3}[/tex]

Thanks!

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boy, have a great day!

A discrete random variables have some properties that includes:

A discrete random variables refers to variables that has either finite or a countable number of possible values.

Generally, a random variable is called continuous if its possible values contain a whole interval of numbers.

Therefore, the Option A , B and C is correct.

Read more about random variables

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Answer:

m = -3/5

Step-by-step explanation:

-5m = 3

Divide each side by -5

-5m/-5 = 3/-5

m = -3/5

Answer:

Distance C from A =5km

Step-by-step explanation:

use the Pythagoras theorem's

{AC}^{2} = {BC}^{2} + {AB}^{2}

AC=✓3^2 + 4^2

AC = ✓9+16

AC = ✓25

AC = 5 km

therefore, C from A = 5 km

The volume of the cone is 35069.35ft^3 which is equivalent to the air the heating and cooling system would accommodate

Data;

The shape of a cone has a spherical base. From the given data, we can find radius of the sphere from this.

[tex]A = \frac{4}{3}\pi r^3\\38000 = \frac{4}{3}* 3.14 * r^3\\4.186r^3 = 38000\\r^3 = \frac{38000}{4.186} \\r^3 = 9077.878\\r = \sqrt[3]{9077.878} \\r = 20.86ft[/tex]

The volume of a cone is given as

[tex]v=\frac{1}{3} \pi r^2 h\\v = \frac{1}{3} * 3.14 * 20.86^2 * 77\\v = 35069.35ft^3[/tex]

The volume of the cone is 35069.35ft^3

Learn more on volume of a cone here;

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Answer:

i hope this is what you are looking for

Step-by-step explanation:

liz is 36

rylan is 75

36*2 is 72

72+3 is 75

y= x (rylan's age)-3 /2

75-3=72

72/2

36